413360640 has 480 divisors, whose sum is σ = 1792492416. Its totient is φ = 85524480.

The previous prime is 413360639. The next prime is 413360641. The reversal of 413360640 is 46063314.

413360640 is a `hidden beast` number, since 4 + 13 + 3 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (413360639) and next prime (413360641).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413360641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773964 + ... + 1774196.

Almost surely, 2^413360640 is an apocalyptic number.

413360640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896246208).

413360640 is an abundant number, since it is smaller than the sum of its proper divisors (1379131776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413360640 is a wasteful number, since it uses less digits than its factorization.

413360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 413360640 is about 20331.2724638671. The cubic root of 413360640 is about 744.9201241631.

The spelling of 413360640 in words is "four hundred thirteen million, three hundred sixty thousand, six hundred forty".